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Unformatted text preview: MA 15400, Fall 2009 EXAM 2 Answers are on the last page. sin 2 + cos 2 = 1 1 + tan 2 = sec 2 1 + cot 2 = csc 2 sin( u + v ) = sin u cos v + cos u sin v sin( u v ) = sin u cos v cos u sin v cos( u + v ) = cos u cos v sin u sin v cos( u v ) = cos u cos v + sin u sin v tan( u + v ) = tan u + tan v 1 tan u tan v tan( u v ) = tan u tan v 1 + tan u tan v sin(2 u ) = 2sin u cos u cos(2 u ) = cos 2 u sin 2 u tan(2 u ) = 2tan u 1 tan 2 u A B C c a b MA 15400 Exam 2 Fall 2009 This exam covers all of Sections 6.7, 7.2, 7.3 7.4, and 7.6 2 1. A 25 foot ladder leans against the side of a 100 foot tall building. The angle between the ladder and the building is 23 . If the bottom of the ladder is then moved 2 feet closer to the building, to the nearest tenth of a degree, what is the angle that the ladder now makes with the side of the building? A. 28.1 B. 20.4 C. 18.1 D. 22.2 E. None of the above 2. Express as a trigonometric function of one angle. sin 43 cos17 cos43 sin17 A. sin 26 B. cos60 C. sin 60 D. cos 26 E. None of the above 3. Given ABC with 90 = , express side a in terms of angle and side b ....
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